Pith Number

pith:FGSZG5NA

pith:2013:FGSZG5NAF6LWNFFA4ZYAMWT5NQ

not attested not anchored not stored refs pending

The universal family of semi-stable p-adic Galois representations

Eugen Hellmann, Urs Hartl

arxiv:1312.6371 v2 · 2013-12-22 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGSZG5NAF6LWNFFA4ZYAMWT5NQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts

Receipt and verification

First computed	2026-07-05T01:18:31.813015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a59375a02f976694a0e670065a7d6c078a74132f99743e243e151a5d8aac42

Aliases

arxiv: 1312.6371 · arxiv_version: 1312.6371v2 · doi: 10.48550/arxiv.1312.6371 · pith_short_12: FGSZG5NAF6LW · pith_short_16: FGSZG5NAF6LWNFFA · pith_short_8: FGSZG5NA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FGSZG5NAF6LWNFFA4ZYAMWT5NQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 29a59375a02f976694a0e670065a7d6c078a74132f99743e243e151a5d8aac42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7216be25f960cc6f6e5771f5238be048c00218d95588ace52ff93a3cdbb00e47",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-22T12:11:48Z",
    "title_canon_sha256": "198037602b55b532a5549147ba443dbc78b5f8ff17c7a7ab56d1e859158f2d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6371",
    "kind": "arxiv",
    "version": 2
  }
}